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基本説明
Contains eleven papers on various computational techniques used in constructive design theory, written by experts in the field.
Full Description
Over the past several years, there has been a significant increase in the application of computational methods to combinatorics, but there is very little mathematical literature on this field, and especially on applications to combinatorial design theory. This book aims to remedy the deficiency. It is aimed at both the established researcher and the graduate student in combinatorics. It is not written as a textbook but could be used in reading courses at the advanced graduate level. The volume contains 11 papers on various computational techniques used in constructive design theory, written by experts in the field. Included are papers on the use of optimization and numerical analysis techniques, construction of classes of combinatorial design, and attempts to block designs with given small parameters. The volume contains two tutorial papers.
Contents
A Bridge Club Design; W.D. Wallis. The First Time; S. Furino. Computational Methods in Design Theory; R. Mathon. Finding Designs with Genetic Algorithms; D. Ashlock. Making the Mols Table; C.J. Colbourn, J.H. Dinitz. On Writing Isomorphism Programs; W. Kocay. The Nonexistence of 4-(12,6,6) Designs; B.D. McKay, S.P. Radziszowski. BIBDS with k = 6 and &lgr; = 1.; W.H. Mills. Polyhedral Methods in Design Theory; L. Moura. Another Look at Large Sets of Steiner Triple Systems; M.J. Sharry, A. Penfold Street. (22, 33, 12, 8,4)- BIBD, an Update; G.H.J. van Rees.
